Question

given that f(x) =x-2 and g(x)= x + 7 find f o g

Answer 1

a. x+5
b. x + 14
c. x-5
d. x-14

Answer 2

\[f(x)=x-2\]
and

\[g(x)=x+7\]

\[f o g= f(g(x))\]
so
\[f(g(x))=g(x)-2\]
put the value of g(x)
\[f(g(x))=x+7-2\]
On simplification, we get
\[f(g(x))=x+5\]